What kind of translation has been done to quadrilateral ABCD ? (1 point) Quadrilateral ABCD has been translated units to the right and units down.

Question

A(2,2) B(4,6) C(4,10) D(2,6) Quadrilateral ABCD has been translated what units to the right and what units down? new coordinates are H(1,15) E(11,1) G(1,19) F(15,1)

Answer 1

To determine the translation applied to quadrilateral ABCD to obtain the new coordinates for quadrilateral HEGF, we can compare the original coordinates of ABCD with the new coordinates of HEGF.

1. Original Coordinates of ABCD:

   • A(2, 2)
   • B(4, 6)
   • C(4, 10)
   • D(2, 6)

2. New Coordinates of HEGF:

   • H(1, 15)
   • E(11, 1)
   • G(1, 19)
   • F(15, 1)

Next, we will find the translation vector by comparing the coordinates:

Examining Point A(2, 2) to H(1, 15):

• To find the translation in the x-direction:

  • New x = 1
  • Original x = 2
  • Translation in x = 1 - 2 = -1 (translated 1 unit to the left)

• To find the translation in the y-direction:

  • New y = 15
  • Original y = 2
  • Translation in y = 15 - 2 = 13 (translated 13 units up)

Now let's check if the same translation works for another point, B(4, 6) to E(11, 1):

From B(4, 6) to E(11, 1):

• x-translation:

  • New x = 11
  • Original x = 4
  • Translation in x = 11 - 4 = 7 (translated 7 units to the right)

• y-translation:

  • New y = 1
  • Original y = 6
  • Translation in y = 1 - 6 = -5 (translated 5 units down)

The translations from A to H and B to E are inconsistent, so there seems to be a misunderstanding in determining the translation.

If you look closely at the points, the solution finds various translations based on different vertices - which is unusual. This suggests that the quadrilateral has not merely been translated but possibly transformed (reflected, rotated, or scaled) rather than a consistent translation. We need to check the overall movement of the quadrilateral.

To summarize, based on the first comparison:

• Translation found for A to H: 1 unit left and 13 units up.
• Translation for B to E suggests a different transformation.

Since the translations for the quadrilateral are not consistent across all vertices, it indicates that a simple translation did not occur uniformly across the shape ABCD.

In conclusion, further examining different transformations might yield more information, as merely translations do not maintain the relationship among the vertices.